Question

A zoologist wants to investigate whether the weight of lemurs in an exhibit in the zoo changes over time. She randomly selects 10 lemurs. Historically, lemurs at the zoo have had a mean weight of 7.61 pounds and a standard deviation of 0.84 pounds. To test the weights, the administrator decided to use the historical standard deviation as the population standard deviation. The hospital administrator conducts a one-mean hypothesis at the 5% significance level, to test if there was a change in the weight of lemurs from 7.61 pounds. For this test: H0:μ=7.61; Ha:μ≠7.61, which is a two-tailed test.

Weight (in pounds) of lemurs is given below.

Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether the mean weight of lemurs at the zoo is different than the historical average of 7.61 pounds. Identify the test statistic, z, and p-value from the calculator output, rounding to three decimal places.

6.3

8.2

7.4

7.1

7.5

6.7

9.2

5.8

7.8

6

Answer 1

go to stat:edit :enter these value in L1 register

then press stat -tests -2-A tests -Data -muo : 7.61 ,sigma =0.84 ,list :L1 ; freq:! calculate

you will get the output

test statistic z=-1.543

p value =0.123